Solve (15x+24)-14=(18x+10)-14+16

$$(15x+24)-14=(18x+10)-14+16$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Subtract 14 from 24 to get 10.

$$15x+10=18x+10-14+16$$

Subtract 14 from 10 to get -4.

$$15x+10=18x-4+16$$

Add -4 and 16 to get 12.

$$15x+10=18x+12$$

Subtract 18x from both sides.

$$15x+10-18x=12$$

Combine 15x and -18x to get -3x.

$$-3x+10=12$$

Subtract 10 from both sides.

$$-3x=12-10$$

Subtract 10 from 12 to get 2.

$$-3x=2$$

Divide both sides by -3.

$$x=\frac{2}{-3}$$

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$x=-\frac{2}{3}$$